You can find somewhere to stay for most budgets, it’s never ‘cheap’ as it’s the Alps, but you can get a pokey little studio that will take 3 or 4 (if you are brave) for 2-300 Euro’s a week.
Camping under the main DMC lift is free, but there are no facilities there (although they did dump some portaloo’s there this year). You can use the toilets round by the front of the station on the roundabout.
People tend to use the swimming pool for showering if they camp (1 Euro a day).
Best to start looking for accomodation towards the end of the winter season, you won’t get much sense out of anyone until then.